output
20042026
most citedTracking control for multi-agent consensus with an active leader and variable topology

2.1k citations

Showing 2013Show all

9 papers · 1 filter

physics.soc-ph2013★ 150 cited

Spreading of cooperative behaviour across interdependent groups

Luo-Luo Jiang, Matjaz Perc

Recent empirical research has shown that links between groups reinforce individuals within groups to adopt cooperative behaviour. Moreover, links between networks may induce cascad…

math.PR2013

A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric

Hongxin Guo, Robert Philipowski, Anton Thalmaier

We first prove stochastic representation formulae for space-time harmonic mappings defined on manifolds with evolving Riemannian metric. We then apply these formulae to derive Liou…

math.QA2013★ 3 cited

Toroidal Lie superalgebras and free field representations

Naihuan Jing, Chongbin Xu

A loop-algebraic presentation is given for toroidal Lie superalgebras of classical types. Based on the loop superalgebra presentation free field realizations of toroidal Lie supera…

math.DG2013★ 2 cited

An entropy formula for the heat equation on manifolds with time-dependent metric, application to ancient solutions

Hongxin Guo, Robert Philipowski, Anton Thalmaier

We introduce a new entropy functional for nonnegative solutions of the heat equation on a manifold with time-dependent Riemannian metric. Under certain integral assumptions, we sho…

math.PR2013

Martingales on manifolds with time-dependent connection

Hongxin Guo, Robert Philipowski, Anton Thalmaier

We define martingales on manifolds with time-dependent connection, extending in this way the theory of stochastic processes on manifolds with time-changing geometry initiated by Ar…

q-bio.PE2013★ 84 cited

If cooperation is likely punish mildly: Insights from economic experiments based on the snowdrift game

Luo-Luo Jiang, Matjaz Perc, Attila Szolnoki

Punishment may deter antisocial behavior. Yet to punish is costly, and the costs often do not offset the gains that are due to elevated levels of cooperation. However, the effectiv…